Finding the Third Proportional to 81,471 and 170,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,471 : 170,389.50 = 170,389.50 : x
2. Step 2: Convert to fraction form
   81,471/170,389.50 = 170,389.50/x
3. Step 3: Cross multiply
   81,471x = 170,389.50 × 170,389.50
4. Step 4: Simplify right side
   81,471x = 29,032,581,710.25
5. Step 5: Solve for x
   x = 29,032,581,710.25/81,471
6. Step 6: Final answer
   x = 356,354.80